IGF



Atmosphere and ocean dynamics

Academic year: 2022/2023
Semester: winter

LECTURE DESCRIPTION

1. Fluids: air, water. Constitutive equations. Structure of the atmosphere and the ocean. Similarities and differences.
2. Equations of motion in rotating coordinate frame (momentum, mass conservation, energy).
3. Atmosphere as a thin layer of fluid on a rotating sphere. Hydrostatic approximation. Potential temperature, potential density.
4. Multiscale atmospheric and oceanic flows. Filtration of equations. Geostrophic approximation.
5. Prognostic equations. Natural coordinates. Balanced flows in the atmosphere and in the ocean.
6. Shallow water equations. Incopmpressibility: Boussinesq and anelastic approximations.
7. Importance of the atmospheric boundary layer. Oceanic surface layer. Ekman layer in the atmosphere and in the ocean. Ocean -atmosphere interactions.
8. Circulation and vorticity. Potential vorticity. Cyclonic and anticyclonic circulation.
9. Quasi-geostrophic approximation. Numerical Weather Prediction. Mid-latitude circulations.
10. Waves in the atmosphere and in the ocean: acoustic, gravity, inertio-gravity, Rossby waves.
11. Hydrodynamic instabilities in the atmosphere and in the ocean. Baroclinic instability. Mesoscale circulations.
12. Global circulation. Energetics of global circulation. Heat transport in the ocean and in the atmosphere.

Assessment will be based on documented abilities to solve problems (colloquies and written homework) as well as on theory understanding. Percentage of the final score:

- 50% problems solved in the course of written colloquies (the first colloquium in mid-term, the second colloquium at the end of the term, together with the written theoretical exam);

- 10% home exercises and problems;

-40% - theoretical exam (written).

The additional condition: theoretical exam threshold must be passed.

Bibliography:

basic:

Geoffrey K. Vallis, Atmospheric and Oceanic Fluid Dynamics

J.R. Holton, An Introduction to dynamic meteorology

COURSES MATERIALS
Lectures / Leader Lecture type

Szymon P. Malinowski

Jan. 26, 2023, midnight

Lecture documents:
Lecture 12 - Presentation
DAO-w12-2022.pdf
Lecture

Szymon P. Malinowski

Jan. 19, 2023, midnight

Lecture documents:
Lecture 11 - Presentation
DAO-w11-2022.pdf
Lecture

Szymon P. Malinowski

Lecture documents:
Themes for the theoretical exam - Information for students
DAO-exam-questions.pdf

Stanisław Król

Jan. 27, 2023, 10:50 a.m.; ul. Pasteura 5, B4.58

Stanisław Król

Jan. 20, 2023, 10:50 a.m.; ul. Pasteura 5, B4.58

Lecture documents:
AOD_Session_12.pdf
Class

Stanisław Król

Jan. 19, 2023, 1 p.m.; ul. Pasteura 5, 208

Class

Szymon P. Malinowski

Dec. 15, 2022, 3:15 p.m.

Omega equation

Lecture documents:
Lecture 10 - Presentation
DAO-w10-2022.pdf
Lecture

Stanisław Król

Dec. 22, 2022, 10:50 a.m.; ul. Pasteura 5, B4.58

Class

Stanisław Król

Dec. 16, 2022, 10:50 a.m.; ul. Pasteura 5, B4.58

Class

Stanisław Król

Dec. 2, 2022, 10:50 a.m.; ul. Pasteura 5, B4.58

Class

Stanisław Król

Dec. 1, 2022, 3:15 p.m.; ul. Pasteura 5, B4.58

Class

Stanisław Król

Nov. 25, 2022, 10:50 a.m.; ul. Pasteura 5, B4.58

Ekman layer.

Lecture documents:
AOD_Session_6.pdf
AOD_Homework_6.pdf
Class

Stanisław Król

Nov. 18, 2022, 10:50 a.m.; ul. Pasteura 5, B4.58

Beta-plane approximation. Thermal wind.

Lecture documents:
AOD_Session_5.pdf
AOD_Homework_5.pdf
Class

Stanisław Król

Nov. 4, 2022, 10:50 a.m.; ul. Pasteura 5, B4.58

Pressure coordinates. Balanced flow.

Lecture documents:
AOD_Session_4.pdf
AOD_Homework_4.pdf
- Information for students
AOD_SUP_2.pdf
- Information for students
AOD_Homework_42_Solution.pdf
Class

Stanisław Król

Oct. 28, 2022, 10:50 a.m.; ul. Pasteura 5, B4.58

Energy equation. Geostrophic wind. Chain rule.

Lecture documents:
AOD_Session_3.pdf
AOD_Homework_3.pdf
Class

Stanisław Król

Oct. 21, 2022, 10:50 a.m.; ul. Pasteura 5, B4.58

Hypsometric equation. Density profile. Parcel dynamics. Introduction to Coriolis force.

Lecture documents:
AOD_Session_2.pdf
AOD_Homework_2.pdf
- Information for students
AOD_SUP_1.pdf
Class

Stanisław Król

Oct. 7, 2022, 11:15 a.m.; ul. Pasteura 5, 2.24

Langrangian vs Eulerian formulation. Material derivative. Hydrostatic approximation.

Lecture documents:
AOD_Session_1.pdf
AOD_Homework_1.pdf
Class

Szymon P. Malinowski

Nov. 24, 2022, 3:15 p.m.

Quasi-geostrophic prediction

Lecture documents:
Lecture 09 - Presentation
DAO-w09-2022.pdf
Lecture

Szymon P. Malinowski

Nov. 17, 2022, 3:15 p.m.

Circulation, vorticity equation

Lecture documents:
Vorticity equation in midlatirtudes - Presentation
DAO-w08-2022.pdf
Lecture

Szymon P. Malinowski

Nov. 10, 2022, 3:15 p.m.

Ekman layer

Lecture documents:
Lecture 07 - Presentation
DAO-w07-2022.pdf
Lecture